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Finding the Third Proportional to 79,986 and 185,173

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Solution

The third proportional to 79,986 and 185,173 is: 428,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,986 : 185,173 = 185,173 : x
  2. Step 2: Convert to fraction form
    79,986/185,173 = 185,173/x
  3. Step 3: Cross multiply
    79,986x = 185,173 × 185,173
  4. Step 4: Simplify right side
    79,986x = 34,289,039,929
  5. Step 5: Solve for x
    x = 34,289,039,929/79,986
  6. Step 6: Final answer
    x = 428,688.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.